यदि p(x) आंकड़ों (-2, -1), (-1, 3), (0, 1), (1, -1), तथा (2, 3) के लिए अंतर्वेशन बहुपद (interpolating polynomial) है, तो p(12) का मान है:

Using Rayleigh's power method, find the dominant (largest in magnitude) eigenvalue of the matrix A = [[25, 1, 2], [1, 3, 0], [2, 0, -4]].

Let the solution to the initial value problem y' = y − t2 + 1, 0 ≤ t ≤ 2, y(0) = 0.5 be computed using Euler's method with step-length h = 0.4. An error bound for Euler's method at t = 0.8 is given by: